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Finding the Fourth Proportional to 32,486.43, 48,690.41 and 15,821.49

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Solution

The fourth proportional to 32,486.43, 48,690.41 and 15,821.49 is: 23,713.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    32,486.43 : 48,690.41 = 15,821.49 : x
  2. Step 2: Convert to fraction form
    32,486.43/48,690.41 = 15,821.49/x
  3. Step 3: Cross multiply
    32,486.43x = 48,690.41 × 15,821.49
  4. Step 4: Simplify right side
    32,486.43x = 770,354,755.80
  5. Step 5: Solve for x
    x = 770,354,755.80/32,486.43
  6. Step 6: Final answer
    x = 23,713.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.